Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8
and AD 4, what is the length of AC ? (Note: the figure is not drawn to scale. )
Answers
The required length of the side AC of the given right triangle is 32 units.
What is the right triangle?A right triangle is a triangle with one right angle or two perpendicular sides.
It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.
The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
A triangle is referred to be a right triangle when one of the interior angles is 90 degrees or a right angle.
So, using the hypotenuse AC as the point of convergence for the right triangle ABC,
AB is 8 and AD is 2.
Verify whether the triangle ΔABD resembles ΔACB.
∠ BCA = ∠ DBA (90 - ∠ DBC)
∠ A = ∠ A
As a result, ΔABD and ΔACB share an AAS resemblance.
Utilize the similarity property to determine the length of AC.
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Therefore, the required length of the side AC of the given right triangle is 32 units.
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Correct question:
Given a right triangle, ABC with altitude BD drawn to hypotenuse AC. If AB = 8 and AD = 2, what is the length of AC?
Related Questions
2 + (4-3 (3-6) -4] +12=
Answers
Answer: 23
Step-by-step explanation:
What are the like terms in 3x 3 2y and 2 XY x2?
Answers
The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.
3x (3 - 2y) = 3x * 3 - 3x * 2y = 9x - 6xy2 (xy + x²) = 2 * xy + 2 * x² = 2xy + 2x²What are like terms in math equations?Like terms are terms which have the same variables and exponents. In this case, the like terms are -6xy and 2xy because they both have the same variable (xy) and exponents (1). In algebra, like terms can be added or subtracted to simplify an expression. Like terms are terms which have the same variables and exponents.
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X
-1
0
2
f(x)
MKB6223
18
가 2
What is the decay factor of the exponential function
represented by the table?
이를
이를
○ 2
○6
Answers
Here, 1/3 is halfway between 0 and 1. The exponential function supplied has a decay factor of 1/3 as a result.
How do you find the decay factor of an exponential function?An exponential function's basic form is:
[tex]$$y=a b^x$$[/tex]
Where an is the starting value, b>1 is the growth factor, and 0b1 is the decay factor.
the point through which the exponential function passes (0,6). In I if x=0 and y=6, we obtain
[tex]$$\begin{aligned}& 6=a b^0 \\& 6=a(1) \\& 6=a\end{aligned}$$[/tex]
the point through which the exponential function passes (1,2). Substituting [tex]$x=1, y=2, a=6$[/tex] in (i), we get
[tex]$$\begin{aligned}2 & =6(b)^1 \\2 & =6 b \\\frac{2}{6} & =b \\\frac{1}{3} & =b\end{aligned}$$[/tex]
Here, [tex]$^{b=\frac{1}{3}}$[/tex] between 0 and 1 is located. The provided exponential function's decay factor is thus [tex]$\frac{1}{3}$[/tex].
Therefore the correct answer is 1/3 .
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please help me i can't seem to get it
Answers
Answer:
yurrrrrrrrrrrrrr
Step-by-step explanation:
Step-by-step explanation:
43
The angle should be 43 Hope it helps:)
expand and simplify and & simplify 4(f+3)+3(f+3)
Answers
4(f + 3) = 4f + 12
3(f+3) =3f + 9
Now you have 4f + 12 + 3f + 9
Combine like terms to get
7f + 21
the fraction r/s must be equal to which expression
choose 1 answer
a- r - s
b- r + s
c- r x s
d- r ÷ s
Answers
Answer: D.
Have a great day.
Good luck !!
1/4 gallon of paint costs $8. 99. What is the unit price of one gallon of paint?
Answers
The unit price of one gallon of paint is going to be $35.96.
We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.
In this question, it is given that 1/4 gallon of paint costs $8.99 so for 1 gallon we will have to multiply both the paint amount and the money which buys it to 4 which will conclude that 1 gallon costs $8.99 × 4 is equal to $35.96. So, 1 gallon of paint will cost $35.96.
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Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)
Answers
Answer:
-50x^2+30x-4
Step-by-step explanation:
Please answer **ASAP**
if an=n(an-1) and a1=1 what is the value of a5
a. 5
b. 20
c. 120
d. 720
Answers
Answer:
Step-by-step explanation:
c.120 i did the work and i came out with this answer. Hope it helps!
In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60
Answers
Answer: Jana
Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60
I did the test
5.07 - 2.148
????????????
Answers
Answer:
Step-by-step explanation: 2.922
Answer: 2.922
Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.
4^{2} ÷ (2^{3} ÷ ((-1) · (9 (-5))))
Answers
Answer: -45
Step-by-step explanation:
16 divided by 8 = 2
2 divided by -1 = -2
-2 * (9(-5) = -45
Answer:
90
Step-by-step explanation:
2^4dived(2^3divide((-1)x(-45)))
2^4divide(2^3divided45)
2^4dived 2^3/45
2^4dived 8/45
2^4divied 45/8
2^4 divied 45/2^3
2+45
=90
Hope this help
Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.
Answers
Answer:
y = 9.4
x = 5.7
Step-by-step explanation:
From the given triangle
Opposite to the acute angle is y
Hypotenuse = 11
Angle = 59degrees
using the SOH CAH TOA identity
sin 59 = opp//hyp
sin59 = y/11
y = 11sin59
y = 9.4
Also
Adjacent = x
cos theta = adj/hyp
cos 59 = x/11
x = 11cos59
x = 5.7
Please help!Don’t under stand. 6th grade math
Answers
someone help me please !
Answers
Answer:
base = √3/2
cos 30 = √3/2
height = 1/2
sin 30 = 1/2
coordinates: √3/2, 1/2
Step-by-step explanation:
See unit circle for reference
The radius of a circle is 7 inches what is the area give the exact answer in simplest form
Answers
Answer:
49π
Step-by-step explanation:
Using a table of values, what is the approximate positive solution to the equation to the nearest quarter of a unit? f(x)=log(x+2) g(x)=4^x-1
Answers
Answer:
The answer is 0.25 for plato/edmentum users
Step-by-step explanation:
The x-intercept/zero for function f is x= -1 and the x-intercept/zero for function g is x= 0, therefore, the closest positive value out of the options is 0.25 sense the problem wants the functions to equal around the same value. Tbh I suck at math and idek if my explanation is right I really just guessed on the problem. Here's a ss for proof that my answer's right tho lol p.s. if ur 15-19 amos: kenz8124 Have a great day :)
The positive solution to the equation is 0.21
The functions are given as:
[tex]f(x) = \log(x + 2)[/tex].[tex]g(x) = 4^x - 1[/tex].The tables are not given. So, we make use of graphs
Graphs of f(x) and g(x)See attachment for the graph that represents functions f(x) and g(x).
From the attached graph, we can see that the curves of both functions intersect at x = 0.214.
Approximate the above value of x
[tex]x =0.21[/tex]
Hence, the positive solution to the equation is 0.21
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I need to factor completely to get an answer for
r²+3r-28
I need to get factors in parenthesis like (r +/- #) (r +/- #)
I need it before tomorrow
Answers
Answer:
(r + 7)(r - 4) = 0
Step-by-step explanation:
r² + 3r - 28 = 0
(r + 7)(r - 4) = 0
r = -7, 4
Daddy Dearest (Fnf) Is giving you free point s if you stay away from GF
What do you do?
A grab the points and run for your life
B Grab the coins and kidnap GF
C Rap battle him
D Ask BF to beat him
Answers
Answer:
E. Take points and kill GF
Step-by-step explanation:
Answer:
grab the points and rap battle him
Step-by-step explanation:
because why not have a rap battle for the points
What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
Answers
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
Answers
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. Mary orders a bagel and a muffin, which comes out to $\$3.30$. Mary orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost
Answers
On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.
A toast costs = x dollars.
A bagel costs = y dollars.
A muffin costs = z dollars.
It costs $3.15 for two pieces of toast and a bagel.
As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,
2x = 3.15 —Y
x = -o.5y+ 1.575
It costs $3.30 for a bagel and a muffin.
Since x and z are functions of y,
—0.5y + 1.575 + + 3(3.3 — y) 9.15
—0.5y + 1.575 +2y + 9.9—3y = 9.15
—1.5y + 11.475 = 9.15
1.5y = 2.325
2.325
Y = 1.55
One bagel is 100*1.55 = 155 cents in dollars.
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A picosecond in one trillionth of a second. How many picoseconds are there in 12 minutes?
Answers
Answer:
720,000,000,000,000 or 720 trillion picoseconds.
Step-by-step explanation:
1 picosecond = 1 trillionth of a second. Therefore 1 second has 1 trillion picoseconds:
0.000 000 000 001 seconds = 1 picosecond
0.000 000 000 001 * 1,000,000,000,000 seconds = 1 * 1,000,000,000,000 picosecond
1 second = 1,000,000,000,000 picoseconds
Now, one minute is the same as 60 seconds so we multiply the equation by 60:
1 minute = 60 seconds = 60,000,000,000,000 picoseconds
Finally, we need 12 minutes to be converted to picoseconds.
12 minutes = 720 seconds = 720,000,000,000,000 picoseconds.
So therefore, 12 minutes is equal to 720,000,000,000,000 picoseconds or 720 trillion picoseconds.
Hope this helps!!!
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
PLS HELP ME IM ABT TO CRY!!!! 100 PTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
If Salesman A has exactly ____ sales, he will reach his maximum weekly commission.
Answers
Answer:
Sales = 20
Step-by-step explanation:
Simply make the equation "1300 = 65s" to solve the problem
1300 = 65s
Divide both sides by 65.
1300/65 = 65s/65
Divide 1300 by 65 to get 20.
20=s
Swap sides so that all variable terms are on the left-hand side.
s=20
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answers
Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.
Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.
If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.
Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.
Step-by-step explanation:
the diameter of a circle is 9 in . find its area to the nearest tenth.
Answers
Answer:
63.6
Step-by-step explanation:
diameter = 9
radius = 9/2= 4.5
Area of circle = 22/7 × radius²
so,
22/7×4.5×4.5 = 63.6428571
if we round off it to nearest tenth it will be = 63.6
I'm bad at math so uh yeahhh
Answers
Answer and Step-by-step explanation:
Since we know that lines l and m are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
Subtract 7 from both sides.
116 = 2x
Now, divide both sides by 2.
58 = x
So, the value of x is 58.
#teamtrees #PAW (Plant And Water)
if you toss a coin and let it fall to the floor what is the probability it lands with heads face up
Answers
Answer:
1/2
Step-by-step explanation:
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
When you toss a coin, there are only two outcomes: heads or tails.
Therefore, the probability of the coin landing face-up would be 1 in 2 or 1/2.
What are two angles on a line called?
Answers
Answer:
supplementary angles
Step-by-step explanation:
140 + 40 = 180.
a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length
Answers
Answer:
0.13 cm ( as question was posted)
13 cm ( if width was in centimeters)
Step-by-step explanation:
a = lw
4.5m = 450cm
Plug in the knowns
58.5 = l(450)
Divide both sides by 450
0.13 = l
length is 0.13 cm
----------------------------
I did the qustion as you posted it.
If you intended 4.5 centimeters instead of 4.5 meters then
58.5 = l(4.5)
divide both sides by 4.5
l = 13 cm